arXiv:math/0409116 Abstract

arXiv:math/0409116 [math.AG]Abstract References Reviews Resources

The Abel-Jacobi map for higher Chow groups

Matt Kerr, James Lewis, Stefan Müller-Stach

Published 2004-09-07Version 1

We construct a map between Bloch's higher Chow groups and Deligne homology for smooth, complex quasiprojective varieties on the level of complexes. For complex projective varieties this results in a formula which generalizes at the same time the classical Griffiths Abel-Jacobi map and the Borel/Beilinson/Goncharov regulator type maps.

Comments: 29 pages, 1 figure

Categories: math.AG

Subjects: 14C25, 14C30, 14C35, 19E15

Keywords: blochs higher chow groups, borel/beilinson/goncharov regulator type maps, classical griffiths abel-jacobi map, complex quasiprojective varieties, complex projective varieties

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